In my opinion, the sketch is exactly what I would plan. It is sufficient for the company. Why not for you?
I am not an expert and am trying to clarify what would be correct/possible. Even if the solution is sufficient, this solution is not what I ordered.
My thought (the numbers are made up by me just for explanation): if I order the ceiling and stairs, where the reinforcement is calculated and ordered with, for example, a safety factor of 10, and the construction company then delivers a repair with a safety factor of 5, then I consider the order not fully fulfilled.
Furthermore, I am sure that several flexible conduits for electrical cables laid directly behind the corbel will be damaged.
Extending the stairs is nonsense. You have the same problem then. Pouring concrete onto the rough surface is, in my opinion, better.
What problem would I have then? Fortunately, I myself supplemented the reinforcement behind the corbel (in addition to the reinforcement plan). The remaining area in the concrete ceiling is not weaker than the original support surface/corbel.